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Finding the Fourth Proportional to 6,498.57, 8,968.01 and 3,514.39

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Solution

The fourth proportional to 6,498.57, 8,968.01 and 3,514.39 is: 4,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.57 : 8,968.01 = 3,514.39 : x
  2. Step 2: Convert to fraction form
    6,498.57/8,968.01 = 3,514.39/x
  3. Step 3: Cross multiply
    6,498.57x = 8,968.01 × 3,514.39
  4. Step 4: Simplify right side
    6,498.57x = 31,517,091.48
  5. Step 5: Solve for x
    x = 31,517,091.48/6,498.57
  6. Step 6: Final answer
    x = 4,849.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.